Nonlinear potential theory on metric spaces
By: Anders Björn, Jana Björn
Contributors: Björn, Jana
Series: EMS tracts in mathematics -- 17; EMS tracts in mathematics -- 17.
Publisher: European Mathematical Society
Published: 2011
Place of publication: Zürich, Switzerland
Language: eng
Number of pages: 403
ISBN-13: 9783037190999
Subjects: Harmonic functions; Potential theory (Mathematics); Metric spaces
Notes: Includes bibliographical references (p. [369]-388) and index.
Table of contents: title: Newtonian spaces; title: Minimal p-weak upper gradients; title: Doubling measures; title: Poincaré inequalities; title: Properties of Newtonian functions; title: Capacities; title: Superminimizers; title: Interior regularity; title: Superharmonic functions; title: The Dirichlet problem for p-harmonic functions; title: Boundary regularity; title: Removable singularities; title: Irregular boundary points; title: Regular sets and applications thereof.